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Finding the Fourth Proportional to 514,867.20, 770,551.20 and 451,881.60

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Solution

The fourth proportional to 514,867.20, 770,551.20 and 451,881.60 is: 676,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,867.20 : 770,551.20 = 451,881.60 : x
  2. Step 2: Convert to fraction form
    514,867.20/770,551.20 = 451,881.60/x
  3. Step 3: Cross multiply
    514,867.20x = 770,551.20 × 451,881.60
  4. Step 4: Simplify right side
    514,867.20x = 348,197,909,137.92
  5. Step 5: Solve for x
    x = 348,197,909,137.92/514,867.20
  6. Step 6: Final answer
    x = 676,286.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.